Symmetries in Optimal Control

DOI10.1137/0325015zbMath0616.49003OpenAlexW2176623737MaRDI QIDQ4725218

Arjan J. Van der Schaft

Publication date: 1987

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0325015

zbMATH Keywords

maximum principlesymmetriesoptimal control problemsoptimal Hamiltonian

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (20)

Remarks on multisymplectic reduction ⋮ Geometrical and topological methods in optimal control theory ⋮ Geometric approach to non-linear optimal control problems ⋮ I. GM-sets applied to Lie theory ⋮ Optimal reduction of controlled Hamiltonian system with Poisson structure and symmetry ⋮ Optimal Control Problems with Symmetry Breaking Cost Functions ⋮ Geometric reduction in optimal control theory with symmetries ⋮ Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach ⋮ General symmetries in optimal control ⋮ Optimal bacterial resource allocation: metabolite production in continuous bioreactors ⋮ Singular reduction for nonlinear control systems ⋮ On the Noether theorem for optimal control ⋮ Control of a class of patterned systems ⋮ Invariant tracking ⋮ Symmetries and conservation laws of Hamiltonian systems ⋮ Dimension reduction in recurrent networks by canonicalization ⋮ Noncommutative rational functions invariant under the action of a finite solvable group ⋮ Nonclassical symmetry reductions of the Boussinesq equation ⋮ Manifold turnpikes, trims, and symmetries ⋮ Nonlinearizable single-input control systems do not admit stationary symmetries

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